%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT060+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:11:52 PM UTC 2026
% Result : Theorem 27.33s 4.46s
% Output : Proof 27.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 10
% Syntax : Number of formulae : 82 ( 23 unt; 0 def)
% Number of atoms : 250 ( 46 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 240 ( 72 ~; 127 |; 30 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 39 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X,T] :
( organization(X)
=> ( ( ~ has_immunity(X,T)
=> ( ( ( ~ positional_advantage(X,T)
& ~ is_aligned(X,T) )
=> hazard_of_mortality(X,T) = high )
& ( ( ~ positional_advantage(X,T)
& is_aligned(X,T) )
=> hazard_of_mortality(X,T) = mod2 )
& ( ( positional_advantage(X,T)
& ~ is_aligned(X,T) )
=> hazard_of_mortality(X,T) = mod1 )
& ( ( positional_advantage(X,T)
& is_aligned(X,T) )
=> hazard_of_mortality(X,T) = low ) ) )
& ( has_immunity(X,T)
=> hazard_of_mortality(X,T) = very_low ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).
fof(f6_nnf,plain,
! [X,T] :
( ( ( ( ( hazard_of_mortality(X,T) = high
| positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod2
| positional_advantage(X,T)
| ~ is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod1
| ~ positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = low
| ~ positional_advantage(X,T)
| ~ is_aligned(X,T) ) )
| has_immunity(X,T) )
& ( hazard_of_mortality(X,T) = very_low
| ~ has_immunity(X,T) ) )
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,T] :
( ( ( ( ( hazard_of_mortality(X,T) = high
| positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod2
| positional_advantage(X,T)
| ~ is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod1
| ~ positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = low
| ~ positional_advantage(X,T)
| ~ is_aligned(X,T) ) )
| has_immunity(X,T) )
& ( hazard_of_mortality(X,T) = very_low
| ~ has_immunity(X,T) ) )
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c15,plain,
( hazard_of_mortality(X0,X1) = high
| positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f12,conjecture,
! [X,T0,T] :
( ( ~ has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3) ).
fof(f12_neg,negated_conjecture,
~ ! [X,T0,T] :
( ( ~ has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f12_nnf,plain,
? [X,T0,T] :
( ~ greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
& ~ has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) ),
inference(nnf_transformation,[status(thm)],[f12_neg]) ).
fof(f12_sk,plain,
( ~ greater(hazard_of_mortality(sk0,sk2),hazard_of_mortality(sk0,sk1))
& ~ has_immunity(sk0,sk2)
& has_immunity(sk0,sk1)
& organization(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f12_nnf]) ).
cnf(c21,plain,
organization(sk0),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p79,plain,
( hazard_of_mortality(sk0,X0) = high
| positional_advantage(sk0,X0)
| is_aligned(sk0,X0)
| has_immunity(sk0,X0) ),
inference(resolution,[status(thm)],[c15,c21]) ).
fof(f5,axiom,
! [X,Y] :
( greater(X,Y)
| X = Y
| smaller(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
fof(f5_nnf,plain,
! [X,Y] :
( greater(X,Y)
| X = Y
| smaller(X,Y) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,Y] :
( greater(X,Y)
| X = Y
| smaller(X,Y) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c10,plain,
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
fof(f4,axiom,
! [X,Y,Z] :
( ( greater(Y,Z)
& greater(X,Y) )
=> greater(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(f4_nnf,plain,
! [X,Y,Z] :
( greater(X,Z)
| ~ greater(Y,Z)
| ~ greater(X,Y) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y,Z] :
( greater(X,Z)
| ~ greater(Y,Z)
| ~ greater(X,Y) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c9,plain,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p56,plain,
( greater(X0,X2)
| ~ greater(X1,X2)
| X0 = X1
| smaller(X0,X1) ),
inference(resolution,[status(thm)],[c10,c9]) ).
fof(f9,axiom,
greater(low,very_low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18c) ).
fof(f9_nnf,plain,
greater(low,very_low),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c18,plain,
greater(low,very_low),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(p229,plain,
( greater(X0,very_low)
| X0 = low
| smaller(X0,low) ),
inference(resolution,[status(thm)],[p56,c18]) ).
cnf(c11,plain,
( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p61,plain,
( hazard_of_mortality(sk0,X0) = very_low
| ~ has_immunity(sk0,X0) ),
inference(resolution,[status(thm)],[c11,c21]) ).
cnf(c22,plain,
has_immunity(sk0,sk1),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p62,plain,
hazard_of_mortality(sk0,sk1) = very_low,
inference(resolution,[status(thm)],[p61,c22]) ).
cnf(c24,plain,
~ greater(hazard_of_mortality(sk0,sk2),hazard_of_mortality(sk0,sk1)),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p63,plain,
~ greater(hazard_of_mortality(sk0,sk2),very_low),
inference(demodulation,[status(thm)],[p62,c24]) ).
cnf(p883,plain,
( hazard_of_mortality(sk0,sk2) = low
| smaller(hazard_of_mortality(sk0,sk2),low) ),
inference(resolution,[status(thm)],[p229,p63]) ).
fof(f2,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f2_nnf,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( greater(Y,X)
| ~ smaller(X,Y) ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X,Y] :
( ( ~ greater(Y,X)
| smaller(X,Y) )
& ( greater(Y,X)
| ~ smaller(X,Y) ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c6,plain,
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p914,plain,
( greater(low,hazard_of_mortality(sk0,sk2))
| hazard_of_mortality(sk0,sk2) = low ),
inference(resolution,[status(thm)],[p883,c6]) ).
fof(f3,axiom,
! [X,Y] :
~ ( greater(Y,X)
& greater(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
fof(f3_nnf,plain,
! [X,Y] :
( ~ greater(Y,X)
| ~ greater(X,Y) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X,Y] :
( ~ greater(Y,X)
| ~ greater(X,Y) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c8,plain,
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p975,plain,
( ~ greater(hazard_of_mortality(sk0,sk2),low)
| hazard_of_mortality(sk0,sk2) = low ),
inference(resolution,[status(thm)],[p914,c8]) ).
cnf(p1110,plain,
( ~ greater(high,low)
| hazard_of_mortality(sk0,sk2) = low
| positional_advantage(sk0,sk2)
| is_aligned(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(superposition,[status(thm)],[p79,p975]) ).
fof(f7,axiom,
greater(high,mod1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18a) ).
fof(f7_nnf,plain,
greater(high,mod1),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c16,plain,
greater(high,mod1),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(p47,plain,
( greater(high,X0)
| ~ greater(mod1,X0) ),
inference(resolution,[status(thm)],[c9,c16]) ).
fof(f8,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).
fof(f8_nnf,plain,
greater(mod1,low),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c17,plain,
greater(mod1,low),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(p153,plain,
greater(high,low),
inference(resolution,[status(thm)],[p47,c17]) ).
cnf(p1764,plain,
( hazard_of_mortality(sk0,sk2) = low
| positional_advantage(sk0,sk2)
| is_aligned(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p1110,p153]) ).
cnf(p1767,plain,
( ~ greater(low,very_low)
| positional_advantage(sk0,sk2)
| is_aligned(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(superposition,[status(thm)],[p1764,p63]) ).
cnf(p1783,plain,
( positional_advantage(sk0,sk2)
| is_aligned(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p1767,c18]) ).
cnf(c13,plain,
( hazard_of_mortality(X0,X1) = mod1
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p71,plain,
( hazard_of_mortality(sk0,X0) = mod1
| ~ positional_advantage(sk0,X0)
| is_aligned(sk0,X0)
| has_immunity(sk0,X0) ),
inference(resolution,[status(thm)],[c13,c21]) ).
cnf(p1785,plain,
( hazard_of_mortality(sk0,sk2) = mod1
| is_aligned(sk0,sk2)
| has_immunity(sk0,sk2)
| is_aligned(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p1783,p71]) ).
cnf(p3156,plain,
( hazard_of_mortality(sk0,sk2) = mod1
| is_aligned(sk0,sk2)
| is_aligned(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(factoring,[status(thm)],[p1785]) ).
cnf(p3158,plain,
( hazard_of_mortality(sk0,sk2) = mod1
| is_aligned(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(factoring,[status(thm)],[p3156]) ).
cnf(p3161,plain,
( ~ greater(mod1,very_low)
| is_aligned(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(superposition,[status(thm)],[p3158,p63]) ).
cnf(p48,plain,
( greater(mod1,X0)
| ~ greater(low,X0) ),
inference(resolution,[status(thm)],[c9,c17]) ).
cnf(p164,plain,
greater(mod1,very_low),
inference(resolution,[status(thm)],[p48,c18]) ).
cnf(p3351,plain,
( is_aligned(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p3161,p164]) ).
cnf(c14,plain,
( hazard_of_mortality(X0,X1) = mod2
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p76,plain,
( hazard_of_mortality(sk0,X0) = mod2
| positional_advantage(sk0,X0)
| ~ is_aligned(sk0,X0)
| has_immunity(sk0,X0) ),
inference(resolution,[status(thm)],[c14,c21]) ).
cnf(p3361,plain,
( hazard_of_mortality(sk0,sk2) = mod2
| positional_advantage(sk0,sk2)
| has_immunity(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p3351,p76]) ).
cnf(p3363,plain,
( hazard_of_mortality(sk0,sk2) = mod2
| positional_advantage(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(factoring,[status(thm)],[p3361]) ).
cnf(p3375,plain,
( ~ greater(mod2,very_low)
| positional_advantage(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(superposition,[status(thm)],[p3363,p63]) ).
fof(f11,axiom,
greater(mod2,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e) ).
fof(f11_nnf,plain,
greater(mod2,low),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c20,plain,
greater(mod2,low),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(p51,plain,
( greater(mod2,X0)
| ~ greater(low,X0) ),
inference(resolution,[status(thm)],[c9,c20]) ).
cnf(p194,plain,
greater(mod2,very_low),
inference(resolution,[status(thm)],[p51,c18]) ).
cnf(p3565,plain,
( positional_advantage(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p3375,p194]) ).
cnf(c12,plain,
( hazard_of_mortality(X0,X1) = low
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p69,plain,
( hazard_of_mortality(sk0,X0) = low
| ~ positional_advantage(sk0,X0)
| ~ is_aligned(sk0,X0)
| has_immunity(sk0,X0) ),
inference(resolution,[status(thm)],[c12,c21]) ).
cnf(p3360,plain,
( hazard_of_mortality(sk0,sk2) = low
| ~ positional_advantage(sk0,sk2)
| has_immunity(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p3351,p69]) ).
cnf(p3362,plain,
( hazard_of_mortality(sk0,sk2) = low
| ~ positional_advantage(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(factoring,[status(thm)],[p3360]) ).
cnf(p3566,plain,
( hazard_of_mortality(sk0,sk2) = low
| has_immunity(sk0,sk2)
| has_immunity(sk0,sk2) ),
inference(resolution,[status(thm)],[p3565,p3362]) ).
cnf(p3567,plain,
( hazard_of_mortality(sk0,sk2) = low
| has_immunity(sk0,sk2) ),
inference(factoring,[status(thm)],[p3566]) ).
cnf(p3574,plain,
( ~ greater(low,very_low)
| has_immunity(sk0,sk2) ),
inference(superposition,[status(thm)],[p3567,p63]) ).
cnf(p3698,plain,
has_immunity(sk0,sk2),
inference(resolution,[status(thm)],[p3574,c18]) ).
cnf(c23,plain,
~ has_immunity(sk0,sk2),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p3699,plain,
$false,
inference(resolution,[status(thm)],[p3698,c23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT060+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 01:16:43 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 27.33/4.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.33/4.46 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------